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Finding the Fourth Proportional to 24,385.12, 36,586.44 and 9,585.82

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Solution

The fourth proportional to 24,385.12, 36,586.44 and 9,585.82 is: 14,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,385.12 : 36,586.44 = 9,585.82 : x
  2. Step 2: Convert to fraction form
    24,385.12/36,586.44 = 9,585.82/x
  3. Step 3: Cross multiply
    24,385.12x = 36,586.44 × 9,585.82
  4. Step 4: Simplify right side
    24,385.12x = 350,711,028.28
  5. Step 5: Solve for x
    x = 350,711,028.28/24,385.12
  6. Step 6: Final answer
    x = 14,382.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.